Hill stability in the restricted three-body problem

Details Hill stability in the restricted three-body problem Hill stability in the restricted three-body problem

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976sval....2..120k&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 2, June 1976, p. 311-314.) Soviet Astronomy Letters, vol. 2, May-June 1976, p. 120-122.

Astronomy and Astrophysics

Astronomy

Elliptical Orbits, Hill Method, Motion Stability, Three Body Problem, Trajectory Analysis, Circular Orbits, Existence Theorems

Scientific paper

Sufficient conditions are determined for Hill stability and instability
of an isoenergetic family of trajectories in the simplified semiaveraged
elliptical restricted three-body problem proposed by Rein (1938) for
small eccentricities. The existence of motions that are stable in the
circular problem but unstable in Rein's problem is proven.

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